Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Özkartepe, P.; Imashkyzy, M.; ABDULLAYEV, FAHREDDİN

doi:10.2298/fil2317701o

Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Özkartepe P., Imashkyzy M., ABDULLAYEV F.

Filomat, cilt.37, sa.17, ss.5701-5715, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 37 Sayı: 17
Basım Tarihi: 2023
Doi Numarası: 10.2298/fil2317701o
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.5701-5715
Anahtar Kelimeler: Algebraic polynomials, Bernstein inequality, Conformal mapping, Markov inequality, Nikolskii inequality, Quasicircle
Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour.